A method for shared estimation of parameters (.epsilon., .phi., |C.sub.1|,
C.sub.0, .alpha., .DELTA..omega.) is described, which together with an
error vector e(k), describe the connection between a digitally modulated
reference signal inputted to a transmission channel and a received
receiver signal z(k) which is at an end of the transmission channel. The
method includes the following steps: forming the error vector e(k) in
dependence of the parameters (.epsilon., .phi., |C.sub.1|, C.sub.0,
.alpha., .DELTA..omega.), a reference signal s(k), and the receiver
signal z(k); linearizing the error vector e(k); substituting a real
parameter of the linearized error vector through components of a
estimation vector, wherein a substituted error vector is produced;
inserting the substituted error vector into the cost function; and
determining the estimation vector through gradient development of the
cost function and subsequently setting the gradient to zero.